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Question
think about the process a jar contains only pennies, nickels, dimes, and quarters. there are 13 pennies, 15 dimes, and 23 quarters. the rest of the coins are nickels. there are 87 coins in the jar. how many of the coins are not nickels? if n represents the number of nickels in the jar, what equation could you use to find n?
of the coins are not nickels.
Step1: Calculate non - nickel coins
First, find the number of non - nickel coins. The non - nickel coins are pennies, dimes, and quarters. The number of pennies is 13, dimes is 15, and quarters is 23. So the number of non - nickel coins is \(13 + 15+23\).
\(13 + 15+23=51\)
Step2: Set up the equation for total coins
Let \(n\) be the number of nickels. The total number of coins is the sum of nickels and non - nickels, and it is given as 87. So the equation is the number of non - nickel coins plus the number of nickels equals the total number of coins. That is \(n+51 = 87\) (or we can also write it as \(13 + 15+23 + n=87\)).
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The equation is \(13 + 15+23 + n=87\) (or \(n + 51=87\))